Homework Answers
a)
P(X=9) =0 (since point probability on uniform distribution is 0)
b)
P(7<X<10 )=(10-7)/(14-6)=0.375
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Andrew finds that on his way to work his wait time for the bus is roughly...
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below...
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 11 and 23 minutes. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Preview (Round answer to at least 4 Find the probability that a person waits between 11 and 23? decimal places)
5. Suppose that a person commutes to work by bus. The person arrives at the bus...
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Suppose that the time students wait for a bus can be described by a uniform random...
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The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between 0 and 15 minutes, inclusive. 1. What is the standard deviation of the distribution? Q is normally distributed with a mean of 100 and a standard deviation of 15. 1. What is the probability that a person chosen at random has an IQ less than 80?
For a passenger who arrives at a certain bus stop at a random moment in time,...
For a passenger who arrives at a certain bus stop at a random moment in time, the time spent waiting for the bus is uniformly distributed from 0 to 9 minutes. What is the probability someone who arrives at this bus stop at a random moment will wait at least 7 minutes for the bus? (Round to the nearest tenth of a percent.)
Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a)...
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If a person takes the bus 30 times a month commuting between his dorm and the Dining Hall. It takes the bus 10 minutes to run one loop. The waiting time, in minutes, for a bus to arrive is uniformly d...
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A restaurant owner finds that the time customers wait between sitting down and their server arriving...
A restaurant owner finds that the time customers wait between sitting down and their server arriving is a random variable distributed expo nentially with an average of 2.5 minutes. What is the probability that a customer will wait for their for more than 4 minutes? server Consider the situation in the previous problem. The owner wishes to post a sign saying that customers who have waited longer then M minutes will receive a free meal. How long should M be...
Business Analytics
Lensmakers is an international company that produces eyeglasses. They make most of the prescription eyeglasses that they sell in their stores. They recently purchased new equipment that makes the production of their glasses much faster and are considering a new marketing campaign that promotes that they can make your glasses in 30 minutes or less. The process to produce eyeglasses requires 3 steps: Grinding, Edging/Tinting, and Framing. The distribution of time, in minutes, for each step is shown in the...
The Student Government Association at Middle Carolina University wanted to demonstrate the relationship between the number...
The Student Government Association at Middle Carolina
University
wanted to demonstrate the relationship between the number of beers
a
student drinks and his or her blood alcohol content (BAC). A
random
sample of 18 students participated in a study in which each
participating student was randomly assigned a number of 12-ounce
cans
of beer to drink. Thirty minutes after they consumed their
assigned
number of beers, a member of the local sheriff’s office measured
their
blood alcohol content. The sample...
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 11 and 23 minutes. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Preview (Round answer to at least 4 Find the probability that a person waits between 11 and 23? decimal places)
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Suppose your wait time for shuttle bus follows an exponential distribution with u = 5. (a) What is the probability that you have to wait longer than 10? (b) Given you already waited 10 minutes, what is the probability that you have to wait for another 10 more minutes? (c) Let X be exponentially distributed with parameter 1/u. Prove that P(X >a+b|X >a)=P(X >b)
A restaurant owner finds that the time customers wait between sitting down and their server arriving is a random variable distributed expo nentially with an average of 2.5 minutes. What is the probability that a customer will wait for their for more than 4 minutes? server Consider the situation in the previous problem. The owner wishes to post a sign saying that customers who have waited longer then M minutes will receive a free meal. How long should M be...
The Student Government Association at Middle Carolina
University
wanted to demonstrate the relationship between the number of beers
a
student drinks and his or her blood alcohol content (BAC). A
random
sample of 18 students participated in a study in which each
participating student was randomly assigned a number of 12-ounce
cans
of beer to drink. Thirty minutes after they consumed their
assigned
number of beers, a member of the local sheriff’s office measured
their
blood alcohol content. The sample...
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